Three Observational Falsification Tests of the Guerrero si-FDM Framework.

We present three independent observational falsification tests for the Guerrero self-interacting Fuzzy Dark Matter (si-FDM) framework ($m_{22}=8$, $\lambda=0.509$). Using Planck 2018, Pantheon+, and JWST data, we evaluate the Rigidity Filter’s predictions on ISW stacking, differential cosmic expansion, and high-redshift galaxy morphology. Results show that the framework is not only unrefuted by current data ($<3\sigma$ in all tests) but is statistically favored over $\Lambda$CDM in void-specific ISW measurements ($A_{ISW}=1.302$ at $+0.36\sigma$ for Guerrero vs $+1.75\sigma$ for $\Lambda$CDM). We also resolve apparent tensions in JWST kinematic data and provide definitive falsification criteria for future observatories like DESI, Euclid, and the ELT.本研究针对格雷罗提出的自相互作用模糊暗物质（self-interacting Fuzzy Dark Matter, si-FDM）框架（参数$m_{22}=8$，$lambda=0.509$）提出了三项独立的观测证伪检验。本研究利用普朗克2018（Planck 2018）、Pantheon+以及詹姆斯·韦布空间望远镜（James Webb Space Telescope, JWST）的观测数据，对刚性滤波器（Rigidity Filter）在积分萨克斯-沃尔夫效应（Integrated Sachs-Wolfe, ISW）堆叠分析、差分宇宙膨胀以及高红移星系形态学方面的预测开展了评估。研究结果显示，该框架不仅未被当前观测数据证伪（所有检验的显著性均低于$3sigma$），且在针对空洞的积分萨克斯-沃尔夫效应测量中，其统计表现优于Λ冷暗物质（Lambda Cold Dark Matter, ΛCDM）框架：格雷罗框架的$A_{ISW}=1.302$，显著性为$+0.36sigma$，而Λ冷暗物质框架的显著性为$+1.75sigma$。本研究同时解决了詹姆斯·韦布空间望远镜运动学数据中存在的明显张力，并为未来的观测设备（如暗能量光谱仪（Dark Energy Spectroscopic Instrument, DESI）、欧几里得（Euclid）以及极大望远镜（Extremely Large Telescope, ELT））提供了明确的证伪标准。